Stella wants to build up her emergency fund to $10,000. She has $2,000 now and plans on saving $320 every month. To model the situation,
she creates this equation, where x represents the number of months and y represents the total amount in her emergency fund:
y-2.000 + 320x
Determine the missing steps and justifications in her work.
y-2,000 = 2,000 - 320x - 2,000
division property of equality
e
x
10,000 - 2,000
25
x
8,000 - 200
320
= 24 = x
- 320
2,000
EX
y - 2,000 = 2,000 - 320x - 2,000
multiplication property of equality
Steps
Justification
y = 2,000 + 320x
given
subtraction property of equality
simplification
y-2,000 = 320x
y-2.000 320x
320 320
simplification
substitution and simplification

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126

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